Recall that I said that if the envelope of a cloud could be defined and specified it would probably be a manifold. "Envelope" is a mathematical concept.
--- Frank C. Wimberly 140 Calle Ojo Feliz, Santa Fe, NM 87505 505 670-9918 Santa Fe, NM On Fri, Jun 5, 2020, 9:47 PM <[email protected]> wrote: > So, Frank. Think of the coast of England/Scotland. It is infinitely > indented. Anytime we draw a map of it, we enclose every point on that > coast line and an area that is not within that coastline. So, wrap England > in plastic film and pull the film as tight as we can. We have a shroud. > Is there a mathematical name for that? OK, now, let the plastic be > infinitely flexible, and let us suck all the air out of the space between > the shroud and the coastline. What do we have now? Is there a > mathematical name for that? > > > > Let me give them both names. Let me call one a shroud and the other a > super shrink wrap. I can imagine some mathematician, just for the hell of > it, spending a life time working out what the area is between the shroud > and the super shrink wrap. And then, having worked all that out, claiming, > as do you, that none of these entities, shroud, ssw, or area between, exist > in nature. They are mathematical objects, only. > > > > Which is why Hywel used to say what he used to say about mathematics. Am I > write about any of this? > > > > Nick > > > > Nicholas Thompson > > Emeritus Professor of Ethology and Psychology > > Clark University > > [email protected] > > https://wordpress.clarku.edu/nthompson/ > > > > > > *From:* Friam <[email protected]> *On Behalf Of *Frank Wimberly > *Sent:* Friday, June 5, 2020 8:07 PM > *To:* The Friday Morning Applied Complexity Coffee Group < > [email protected]> > *Subject:* [FRIAM] Manifold Clarification > > > > I said that no physical object is a manifold. This may be a better answer > to Nick's question. The envelope of a cloud, if it could be defined, might > be a manifold depending on cusps etc. Those might be handled by combining > manifolds of different dimensions. This would not be a realizable project > in my opinion. > > > > Frank > > --- > Frank C. Wimberly > 140 Calle Ojo Feliz, > Santa Fe, NM 87505 > > 505 670-9918 > Santa Fe, NM > - .... . -..-. . ...- --- .-.. ..- - .. --- -. -..-. .-- .. .-.. .-.. > -..-. -... . -..-. .-.. .. ...- . -..-. ... - .-. . .- -- . -.. > FRIAM Applied Complexity Group listserv > Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam > un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com > archives: http://friam.471366.n2.nabble.com/ > FRIAM-COMIC http://friam-comic.blogspot.com/ >
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